What Are Complex Numbers - Essence of Complex Analysis

What Are Complex Numbers - Essence of Complex Analysis

Mathemaniac via YouTube Direct link

Sarcastic and serious introductions

1 of 18

1 of 18

Sarcastic and serious introductions

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What Are Complex Numbers - Essence of Complex Analysis

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  1. 1 Sarcastic and serious introductions
  2. 2 1.1 Complex plane - Cartesian way
  3. 3 1.2 Complex plane - Polar way (Intro)
  4. 4 1.3 Arguments about arguments
  5. 5 1.4 Interconversion
  6. 6 2.1 Euler's formula - classic proof
  7. 7 2.2 Euler's formula - 2nd proof
  8. 8 3.1 Operations - addition/subtraction
  9. 9 3.2 Operations - multiplication
  10. 10 3.3 Operations - conjugation
  11. 11 3.4 Operations - division
  12. 12 3.5 Operations - exponentiation
  13. 13 3.6 Operations - logarithm
  14. 14 3.7 Operations - sine/cosine
  15. 15 4.1 de Moivre's theorem - intro
  16. 16 4.2 de Moivre's theorem - nth roots
  17. 17 4.3 de Moivre's theorem - Euler's formula 3rd proof
  18. 18 Outro

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